Classifying spaces andclassifying topoi
By: I. Moerdijk.
Series: Lecture notes in mathematics -- 1616
Publisher: Springer
Published: 1995
Place of publication: Berlin; London
Language: eng
Number of pages: 94
Subjects: Classifying spaces.; Toposes.; Grothendieck categories.
Description: This monograph presents a new, systematic treatment of the relation between classifying topoi and classifying spaces of topological categories. Using a new generalized geometric realization which applies to topoi, a weak homotopy equival- ence is constructed between the classifying space and the classifying topos of any small (topological) category. Topos theory is then applied to give an answer to the question of what structures are classified by "classifying" spaces. The monograph should be accessible to anyone with basic knowledge of algebraic topology, sheaf theory, and a little topos theory.
Notes: Includes bibliographical references (p. - ) and index.